SMS scnews item created by Stephan Tillmann at Wed 25 Mar 2015 0956
Type: Seminar
Distribution: World
Expiry: 24 Jun 2015
Calendar1: 26 Mar 2015 1200-1300
CalLoc1: Carslaw 535A
Auth: tillmann@p710.pc (assumed)

Geometry & Topology

Deformations of the peripherial map for knot complements

Peter Samuelson (Toronto)

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Thursday 26 March 2015 from 12:00�13:00 in Carslaw 535A

Please join us for lunch at the Grandstand after the talk!


Abstract: Deformations of the peripherial map for knot complements Abstract: The space Rep(M) of representations of the fundamental group π1(M) of a 3-manifold M into SL2(C) has played an important role in the study of 3-manifolds. If M=S3K is the complement of a knot in the 3-sphere, then there is a map Rep(M)Rep(T2) given by restricting representations to the boundary. There is a natural deformation X(s,t) of the space Rep(T2) depending on two complex parameters which comes from a "double affine Hecke algebra." We will discuss some background and then describe a conjecture that the map Rep(M)Rep(T2) has a canonical deformation to a map Rep(M)X(s,t). (This is joint work with Yuri Berest.)


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